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rigidity (n.)

"quality of being stiff or inflexible; resistance to change of form," 1620s, from Latin rigiditas "stiffness," from rigidus "hard, stiff, rough, severe" (see rigid).

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Definitions of rigidity from WordNet

rigidity (n.)
the physical property of being stiff and resisting bending;
Synonyms: rigidness
rigidity (n.)
the quality of being rigid and rigorously severe;
Synonyms: inflexibility / rigidness
From wordnet.princeton.edu